In this paper, the bunching and antibunching effects of the photon in the two-hoton process with two-level atomic mixed-state are studied by means ofthe time-volution operator method and numerical calculation. The results show that thequantum collapse and revival properties do not depend on the mixing extent of the atomicinitial state. The antibunching effect of the radiation photons is displayed periodicallyas 0.97≤|S|≤1;with the increasing of the mixing extent of the atomic initial state,the average value of the second-order correlation function g⁽²⁾(0) will become larger,and the characteristics of radiative photons is getting far from antibunching effects.